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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 388815.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388815.bd1 | 388815bd1 | \([1, 0, 0, -285671, -388830]\) | \(25921/15\) | \(1491975801359568735\) | \([]\) | \(6027840\) | \(2.1767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815.bd do not have complex multiplication.Modular form 388815.2.a.bd
sage: E.q_eigenform(10)